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Gustafson-Rakha-Type Elliptic Hypergeometric Series
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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Gustafson-Rakha-Type Elliptic Hypergeometric Series
Інший ID:
2010 Mathematics Subject Classification: 33D67
DOI:10.3842/SIGMA.2017.037
DOI:10.3842/SIGMA.2017.037
Посилання:
Gustafson-Rakha-Type Elliptic Hypergeometric Series / H. Rosengren // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue on Elliptic Hypergeometric Functions and Their Applications.
The full collection is available at https://www.emis.de/journals/SIGMA/EHF2017.html.
This research is supported by the Swedish Science Research Council (Vetenskapsr˚adet). I would
like to thank the anonymous referee for a very careful reading of the manuscript, leading to
many improvements.
Дата:
2017
Переглядів:
506
Завантажень:
301
Анотація:
We prove a multivariable elliptic extension of Jackson's summation formula conjectured by Spiridonov. The trigonometric limit case of this result is due to Gustafson and Rakha. As applications, we obtain two further multivariable elliptic Jackson summations and two multivariable elliptic Bailey transformations. The latter four results are all new even in the trigonometric case.
